In an Ap, 6 times of the 16th term is equal to 11term the 11th term then find the 17th term
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16th term = a + (n-1)d
=a+15d
Similarly,
11th term= a+ 10d
According to the question,
6*(a=15d)= a+10d
=>6a + 90 d= a +10d
=>6a - a + 90d - 10d = 0
=> 5a + 80d= 0
=>5(a+ 16d)=0
=> a+16d=0
=> a + (17-1)d=0
=>17th term = 0
=a+15d
Similarly,
11th term= a+ 10d
According to the question,
6*(a=15d)= a+10d
=>6a + 90 d= a +10d
=>6a - a + 90d - 10d = 0
=> 5a + 80d= 0
=>5(a+ 16d)=0
=> a+16d=0
=> a + (17-1)d=0
=>17th term = 0
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